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Simplifying 3(5x + 7y) = 7(8y + 3x) (5x * 3 + 7y * 3) = 7(8y + 3x) (15x + 21y) = 7(8y + 3x) Reorder the terms: 15x + 21y = 7(3x + 8y) 15x + 21y = (3x * 7 + 8y * 7) 15x + 21y = (21x + 56y) Solving 15x + 21y = 21x + 56y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 15x + -21x + 21y = 21x + -21x + 56y Combine like terms: 15x + -21x = -6x -6x + 21y = 21x + -21x + 56y Combine like terms: 21x + -21x = 0 -6x + 21y = 0 + 56y -6x + 21y = 56y Add '-21y' to each side of the equation. -6x + 21y + -21y = 56y + -21y Combine like terms: 21y + -21y = 0 -6x + 0 = 56y + -21y -6x = 56y + -21y Combine like terms: 56y + -21y = 35y -6x = 35y Divide each side by '-6'. x = -5.833333333y Simplifying x = -5.833333333y
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